Finding the Fourth Proportional to 205,409.64, 283,437.08 and 114,754.26
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Solution
The fourth proportional to 205,409.64, 283,437.08 and 114,754.26 is: 158,345.11
Step by Step Solution
- Step 1: Write the proportion equation
205,409.64 : 283,437.08 = 114,754.26 : x - Step 2: Convert to fraction form
205,409.64/283,437.08 = 114,754.26/x - Step 3: Cross multiply
205,409.64x = 283,437.08 × 114,754.26 - Step 4: Simplify right side
205,409.64x = 32,525,612,371.96 - Step 5: Solve for x
x = 32,525,612,371.96/205,409.64 - Step 6: Final answer
x = 158,345.11
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.